Outage probability analysis of IRS-assisted systems under spatially correlated channels

Trinh Van Chien, Anastasios K. Papazafeiropoulos, Lam Thanh Tu, Ribhu Chopra, Symeon Chatzinotas, Bjorn Ottersten

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


This letter investigates the impact of spatial channel correlation on the outage probability of intelligent reflecting surface (IRS)-assisted single-input single-output (SISO) communication systems. In particular, we derive a novel closed-form expression of the outage probability for arbitrary phase shifts and correlation matrices of the indirect channels. To shed light on the impact of the spatial correlation, we further attain the closed-form expressions for two common scenarios met in the literature when the large-scale fading coefficients are expressed by the loss over a propagation distance. Numerical results validate the tightness and effectiveness of the closed-form expressions. Furthermore, the spatial correlation offers significant decreases in the outage probability as the direct channel is blocked.

Original languageEnglish
Article number9437332
Pages (from-to)1815-1819
Number of pages5
JournalIEEE Wireless Communications Letters
Issue number8
Publication statusPublished - Aug 2021
Externally publishedYes


  • Intelligent reflecting surface
  • Outage probability
  • Spatial correlation


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